en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 6 of (x^2-4)

Solution

\int_{0}^{6} (x^{2} - 4) d x

Solution

48

Solution steps

\int_{0}^{6} x^{2} - 4 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{6} x^{2} d x - \int_{0}^{6} 4 d x

\int_{0}^{6} x^{2} d x = 72

\int_{0}^{6} 4 d x = 24

= 72 - 24

Simplify

= 48

Popular Examples

y^{^{'}} + 2 x y = x^{2}

derivative of f(x)=(4x^3-2x+1)/(x^2)derivative of

f (x) = \frac{4 x ^{3} - 2 x + 1}{x ^{2}}

limit as x approaches+6 of 3

x \to + 6 lim (3)

integral of x(1-x)^2

\int x (1 - x)^{2} d x

limit as x approaches-2 of x^2+5x+4

x \to - 2 lim (x^{2} + 5 x + 4)

Frequently Asked Questions (FAQ)

What is the integral from 0 to 6 of (x^2-4) ?
The integral from 0 to 6 of (x^2-4) is 48